论文标题
纠缠理论中的试验模式
A triality pattern in entanglement theory
论文作者
论文摘要
在这项工作中，我们提出了三种类型的量子状态之间的新联系：部分转置状态下的正面，对称，具有正系数状态和在重组状态下不变。首先，我们获得了它们的光谱半径的公共上限，并在其过滤器正常形式上获得了结果。然后，我们证明了其等级的下限，并且每当达到这种界限时，都可以分开。这些连接为这些类型之一的每一个经过验证的结果的模式增加了新的证据，还有其他两种的同行，这是纠缠理论的潜在信息来源。
In this work, we present new connections between three types of quantum states: positive under partial transpose states, symmetric with positive coefficients states and invariant under realignment states. First, we obtain a common upper bound for their spectral radii and a result on their filter normal forms. Then we prove the existence of a lower bound for their ranks and the fact that whenever this bound is attained the states are separable. These connections add new evidence to the pattern that for every proven result for one of these types, there are counterparts for the other two, which is a potential source of information for entanglement theory.
